On the Kähler form of the moduli space of once punctured tori.
On the Kähler Rank of Compact Complex Surfaces
Harvey and Lawson introduced the Kähler rank and computed it in connection to the cone of positive exact currents of bidimension for many classes of compact complex surfaces. In this paper we extend these computations to the only further known class of surfaces not considered by them, that of Kato surfaces. Our main tool is the reduction to the dynamics of associated holomorphic contractions .
On the Kählerian geometry of 1-convex threefolds.
On the Kobayashi and Caratheodory pseudometric reductions of homogeneous complex spaces
On the Kobayashi metric for perturbations of the ball.
On the Kobayashi-Royden metric for ellipsoids.
On the Kodaira Dimension of the Moduli Space of Abelian Varieties.
On the Kuranishi family of deformations of complex structures over a tubular neighborhood of a strongly pseudo convex boundary with complex dimension 3.
On the Kuratowski convergence of analytic sets
We discuss some conditions which guarantee that the Kuratowski limit of a sequence of analytic sets is a Nash set.
On the lenth spectrums of non-compact Riemann surfaces.
On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds
The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
On the local degree of plane analytic mappings.
On the local meromorphic extension of CR meromorphic mappings
Let M be a generic CR submanifold in , m = CR dim M ≥ 1, n = codim M ≥ 1, d = dim M = 2m + n. A CR meromorphic mapping (in the sense of Harvey-Lawson) is a triple , where: 1) is a ¹-smooth mapping defined over a dense open subset of M with values in a projective manifold Y; 2) the closure of its graph in defines an oriented scarred ¹-smooth CR manifold of CR dimension m (i.e. CR outside a closed thin set) and 3) in the sense of currents. We prove that extends meromorphically to a wedge...
On the local solution of the tangential Cauchy-Riemann equations
On the logarithmic plurigenera of algebraic surfaces
On the Łojasiewicz exponent for analytic curves
An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
On the Łojasiewicz exponent near the fibre of polynomial mappings
We give the formula expressing the Łojasiewicz exponent near the fibre of polynomial mappings in two variables in terms of the Puiseux expansions at infinity of the fibre.
On the Łojasiewicz exponent of the gradient of a holomorphic function
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality holds near for a certain c > 0. In the paper, we give an estimate of the Łojasiewicz exponent of grad h using information from the Newton diagram of h. We obtain the exact value of the exponent for non-degenerate series.
On the Mahler measure of polynomials in many variables
On the Mapping Problem for Algebraic Real Hypersurfaces.